On the Role of the Viscosity Parameters in the Large Time Asymptotics of 2D Micropolar Flows, Miami, USA, 2025.
Long-Time Behavior and Higher-Order Estimates in Dissipative Equations: Overview and Related Problems, Lyon, France. 2024.
An overview of long-time behavior in some dissipative equations, Darmstadt, Germany. 2024.
On the topological size of the class of Leray solutions with algebraic decay, Recife, Brazil. 2024.
Upper and Lower Estimates for a Class of Diffusive Equations: The micropolar case, Recife, Brazil. 2023.
On the topological size of the class of Leray solutions with algebraic decay, Campinas, SP, Brazil. 2023.
Micro-rotation and Vorticity in Micropolar Flows, Ribeirão Preto, SP, Brazil. 2023.
The Inverse Wiegner`s Theorem for the Navier-Stokes Equations and Some Consequences, ICMC Summer Meeting, São Carlos, SP, Brazil, 2023.
We prove results concerning upper and lower decay estimates for homogeneous Sobolev norms of solutions to a rather general family of diusive equations. Following the ideas of Kreiss, Hagstrom, Lorenz and Zingano, we use eventual regularity of solutions to directly work with smooth solutions in physical space, bootstrapping decay estimates from the L 2 norm to higher order derivatives. Besides obtaining upper and lower bounds through this method, we also obtain reverse results: from higher order derivatives decay estimates, we deduce bounds for the L 2 norm. We use these general results to prove new decay estimates for some equations and to recover some well known results. This is joint work with Robert Guterres, César Niche, and Paulo Zingano
See here.